The solution for the bound states of hydrogen using the WKB approximation are developed.

tex2html_wrap122 where tex2html_wrap123 for tex2html_wrap124 for l=0.

The quantization condition is tex2html_wrap125 .

Express tex2html_wrap126 , then tex2html_wrap127

Then tex2html_wrap128 implies tex2html_wrap129

WKB is more accurate for large n because wave function samples more smoothly varying potential


source
psfile jl@crush.caltech.edu index